Question

Identify - 1. Is this a one tailed or two tailed test? 2. Null & alternative...

Identify -

1. Is this a one tailed or two tailed test?

2. Null & alternative hypothesis

3. Test Statistic

4. P-value

5. Conclusion about null hypothesis

6. Final conclusion that addresses original claim.

7. Is this a one or two sample test?

A nationwide study of American homeowners revealed that 64% have one or more lawn mowers. A lawn equipment manufacturer, located in Omaha, feels the estimate is too low for households in Omaha. Can the value 0.64 be rejected if a survey of 490 homes in Omaha yields 360 with one or more lawn mowers? Use a 0.05 significance level.

Homework Answers

Answer #1

Given:

sample proportion, p = 360/490 = 0.7347

= 0.05

1.)

This is One-tailed test

2.)

Ho: P = Po (0.64)

Ha: P > Po (0.64)

3.) z-statistic can be used

4.)

P-value = 0.00002882

5.)

Since P-value < 0.05, there is significant evidence to reject Null Hypotheses

6.)

The original claim that p = 0.64 is rejected since p-value < 0.05

7.)

Its a one sample test since there is only is one sample whose proportion is tested

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